Answer
53.208 $cm^{2}$
Work Step by Step
Given apothem of length 3.2 cm
Perimeter = 19.2$\sqrt 3$ cm
The area of a regular polygon whose apothem has length a and whose perimeter P is given by A = $\frac{1}{2}$ ap
A = $\frac{1}{2}$ *3.2 * 19.2$\sqrt 3$
A = 53.208 $cm^{2}$